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Finding the Third Proportional to 217,358 and 448,684

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Solution

The third proportional to 217,358 and 448,684 is: 926,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,358 : 448,684 = 448,684 : x
  2. Step 2: Convert to fraction form
    217,358/448,684 = 448,684/x
  3. Step 3: Cross multiply
    217,358x = 448,684 × 448,684
  4. Step 4: Simplify right side
    217,358x = 201,317,331,856
  5. Step 5: Solve for x
    x = 201,317,331,856/217,358
  6. Step 6: Final answer
    x = 926,201.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.